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22990854144 = 21134997499
BaseRepresentation
bin10101011010010111…
…001001100000000000
32012100021100101211110
4111122113021200000
5334041124313034
614321205443320
71442510015166
oct253227114000
965307311743
1022990854144
119828813005
124557710540
13222520930b
1411815cb236
158e8604de9
hex55a5c9800

22990854144 has 96 divisors (see below), whose sum is σ = 61425000000. Its totient is φ = 7647240192.

The previous prime is 22990854143. The next prime is 22990854191. The reversal of 22990854144 is 44145809922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 22990854093 and 22990854102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22990854143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3062107 + ... + 3069605.

It is an arithmetic number, because the mean of its divisors is an integer number (639843750).

Almost surely, 222990854144 is an apocalyptic number.

22990854144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22990854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712500000).

22990854144 is an abundant number, since it is smaller than the sum of its proper divisors (38434145856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22990854144 is an equidigital number, since it uses as much as digits as its factorization.

22990854144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 22990854144 in words is "twenty-two billion, nine hundred ninety million, eight hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 499 512 768 998 1024 1497 1536 1996 2048 2994 3072 3992 5988 6144 7499 7984 11976 14998 15968 22497 23952 29996 31936 44994 47904 59992 63872 89988 95808 119984 127744 179976 191616 239968 255488 359952 383232 479936 510976 719904 766464 959872 1021952 1439808 1532928 1919744 2879616 3065856 3742001 3839488 5759232 7484002 7678976 11226003 11518464 14968004 15357952 22452006 23036928 29936008 44904012 46073856 59872016 89808024 119744032 179616048 239488064 359232096 478976128 718464192 957952256 1436928384 1915904512 2873856768 3831809024 5747713536 7663618048 11495427072 22990854144